Legend5555
Full House
Your poker example is flawed. If you haven't, watch the Galfond video I posted earlier.Being exploited long term...... my entire point was to point out that "long term" only exists in situations where long term exists, which for some players (depending on the game and circumstance) doesn't exist.
AND since we're going there with the "cannot be exploited" argument, I'm going to ruffle all the feathers (cordially) by disagreeing with this idea, at least as written. I think the main benefit to GTO is the baseline of strategy and knowledge to start from with the opportunity to deviate from it built-in.
In this example, we are only solving for one scenario : Hero facing a river action heads-up with top pair, first to act. According to your statement "how your opponents play becomes irrelevant" means we will dismiss the opponents actions, tells, and story up to this point. Hero can bet here, check call, or check fold. According to GTO in this scenario hero should bluff 1/3 of the time and fold to a pot-sized bet 2/3 of the time. If hero bluffs less than 1/3 or more than 1/3 then he/she is not playing optimal GTO, which is supposed to protect hero from being exploited. And once again, it's not supposed to matter how your opponent plays.
But the issue is that, even without employing GTO, I as the villain in this situation could identify that the hero is bluffing around a third of the time and folding around twice every three opportunities on the river. So over the course of a moderate amount of hands I could time my bluffs to match up with hero's folds... also timing my value bets to hero's bluffs... The GTO player would not adjust for this because what I do is irrelevant to him/her, and hero just assumes that they will not be exploited over X number of hands so it will all work out. However, GTO player has already been adjusted to by non-GTO player... and villain is exploiting hero with or without using any GTO knowledge.
Now, in best case scenario the GTO player's baseline gets adjusted as play evolves giving hero the best world of exploiting other player's weaknesses all while protecting him/herself over the course of X number of hands. But, this adjustment doesn't happen with the mindset that your "opponents play is irrelevant." Quite the opposite.
So just for fun, I tried this out in the smallest sample size...
GTO / Hardo
Paper / Rock
Scissor / Paper
Rock / Rock
Paper / Scissor
Scissor / Rock
Rock / Paper
Paper / Rock
Scissor / Scissor
Rock / Rock
Paper / Paper
Scissor / Rock
Rock / Scissor
This is 1/3 vs 1/2, and it's 4-4 before repeating to infinity. I did not try this starting with other combos, but at least in this configuration it's a draw if neither player deviates from Rock 50% and GTO... Someone has to switch it up to become profitable. GTO player should have the advantage because the knowledge is there.
Happy Monday (is that a oxymoron?)
How often you should bluff is a function of your bet size. When betting pot, you should be bluffing 1/3 of the time. When betting half pot, you should be bluffing 1/4 of the time. As bet size goes up, you should bluff more.
The caller of a pot bet needs to call 1/2 the time to make themselves unexploitable, 2/3 of the time if it's a half pot bet. This is minimum defense frequency, pot size/(pot size + bet size). As bet size goes down, you should call more.
Neither of these strategies relate to profitability, only exploitation.